Answer:
Step-by-step explanation:
1/2 (2x+8)=3x+8−x
Use the distributive property to multiply 1/2=0.5 by 2x+8.
1/2 x 2x+1/2x8=3x+8-x
Cancel out 2 and 2.
x+1/2 ×8=3x+8−x
Multiply 1/2 =0.5 and 8 to get 8/2=4.
x+8/2=3x+8−x
Divide 8 by 2 to get 4.
x+4=3x+8−x
Combine 3x and −x to get 2x.
x+4=2x+8
Subtract 2x from both sides.
x+4−2x=8
Combine x and −2x to get −x.
−x+4=8
Subtract 4 from both side
−x=4
Multiply both sides by −1.
x=−4
Where is the question i just don't understand
<h3>
Answers:</h3><h3>
Total Area = 342.5 square meters</h3><h3>
Total Cost = 138 pounds</h3>
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Work Shown:
Break the figure up as shown by the dashed lines. Think of cutting along those lines to form 3 separate figures. The trapezoid on the left has area
A = h*(b1+b2)/2
A = 5*(11+12)/2
A = 57.5
The rectangle in the middle has area
A = L*W
A = 12*15
A = 180
The trapezoid on the right has area
A = h*(b1+b2)/2
A = 10*(12+9)/2
A = 105
Overall, the entire figure has area of 57.5+180+105 = <u>342.5 square meters</u>
1 can costs £6 and it covers 15 square meters. We need to cover 342.5 square meters
342.5/15 = 22.8333333333333 approximately
Round up to the nearest whole number to get 23
We need 23 cans to be able to paint 342.5 square meters or more
Note that 22 cans won't be enough because 22*15 = 330 is short of 342.5
While 23 cans is more than enough since 23*15 = 345. It's better to have leftovers than come up short.
Since each can costs £6 and we need 23 of them, the total cost would then come to 6*23 = <u>138 pounds</u>
Answer:
You already have what you are going to substitute, just put the y values from the first equation into the second! Like this:
6x - 5(-2x - 9) = -19
Multiply it out:
6x +10x +45 = -19
Add like terms + simplify:
16x + 45 = -19
16x = -64
x = -4
take that x and put it back into the first equation!!
y = -2(-4) -9
y= 8-9
y= -1
so... your answer is (-4, -1)
hope this helps!